HowManyNumbers Logo

Least Common Multiple (LCM) of 102 and 77

The least common multiple (LCM) of 102 and 77 is 7854.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 102 and 77?

First, calculate the GCD of 102 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 77 = 1 remainder 25
2 77 ÷ 25 = 3 remainder 2
3 25 ÷ 2 = 12 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 1332128
155 and 11117205
10 and 46230
194 and 15930846
34 and 27918

Try Calculating LCM of Other Numbers







Related Calculators